145304400 has 120 divisors (see below), whose sum is σ = 490033120. Its totient is φ = 36702720.

The previous prime is 145304399. The next prime is 145304407. The reversal of 145304400 is 4403541.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×145304400² = 42226737318720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145304407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19614 + ... + 25986.

Almost surely, 2^145304400 is an apocalyptic number.

145304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245016560).

145304400 is an abundant number, since it is smaller than the sum of its proper divisors (344728720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145304400 is a wasteful number, since it uses less digits than its factorization.

145304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6413 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 145304400 is about 12054.2274742100. The cubic root of 145304400 is about 525.7261606711.

Adding to 145304400 its reverse (4403541), we get a palindrome (149707941).

The spelling of 145304400 in words is "one hundred forty-five million, three hundred four thousand, four hundred".